Pygmalion, amiable Shaw’s masterpiece

Pygmalion. Well, the word seems to be very peculiar to me as I first read and pronounce it. At first, I have this sort of idea that the story is related to a lady since the front cover of the text (from 2 versions that I had seen from Dover’s and Enrich Classic publisher) illustrating a girl, holding a basket of flower. Anyhow, when I surf the internet, searching the information to get the real idea of what Pygmalion is, I was impressed to discover that Pygmalion is actually a name of a sculptor in Roman’s narrative poem, Ovid's Metamorphoses and he was depicted as a legendary figure. As I read further about it, it revolves around a sculptor(by the name of Pygmalion) who fall in love with his own sculpture which he had carved beautifully it. The best part for me would be the ending, where he got married to his beautiful sculpture since the figurine was brought to life as he keep on praying for the God to change the statue to a real woman. As compared to Pygmalion in Ovid's Metamorphoses, Shaw’s Pygmalion does underscore some similarity and also brings out some differences. From what can I see, Professor Higgins was the representation of Pygmalion while Eliza is portrayed as Pygmalion’s sculpture. As an idealistic professor, Higgins transforms Eliza, an unsophisticated Cockney into a refined young lady which set up in turn-of-the-century London as opposed to Greek in Ovid's Metamorphoses. The most distinct difference would be the ending of the play. In Ovid’s metamorphoses, Pygmalion was enjoying a happy life by getting married with the sculptor. As opposed to that, Shaw’s Pygmalion ends differently. Higgins and Eliza don’t fall in love with each other and both of them do not end with marriage (it is quite frustrating though…). I still confuse, why Shaw refuses to have Eliza and Higgins fall in love or should both of them fall in love? Hurm…points to ponder…